When he found out that he was in Herod (Antipas)’s jurisdiction,[a]
he sent him to Herod, who was also in Jerusalem[b]
during those days.

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a Herod the Great's kingdom was divided up after his death. Herod Antipas' jurisdiction was the Galilee and Perea. Judea, Samaria, and Idumea were reorganized as a Roman province in 6 CE under the jursidiction of Roman governors. Ituraea, Trachonitis, and Batanaea were under the rule of Herod Philip.

b Herod Antipas, who's capital was in Tiberias, was in Jerusalem for Passover.

Herod and Pilate became friends with each other that very day,[a]
for before that they were enemies with each other.

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a Perhaps became friends is a figurative expression, i.e., they became complicit in the eyes of the Jesus' followers, to whom they may as well have been one and the same whatever their actual differences, or a political euphemism for they both became equally hated by Jesus' followers from that day?

and said to them, “You brought this man to me as one that perverts the people, and see, I have examined him before you, and found no basis for a charge against this man concerning those things of which you accuse him.